Crystalline Conductance and Absolutely Continuous Spectrum of 1D Samples

Laurent Bruneau; Vojkan Jakšić; Yoram Last; Claude Alain Pillet

doi:10.1007/s11005-016-0844-8

Crystalline Conductance and Absolutely Continuous Spectrum of 1D Samples

Laurent Bruneau
, Vojkan Jakšić^*
, Yoram Last
, Claude Alain Pillet

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the crystalline Landauer–Büttiker conductance of the associated finite samples.

Original language	English
Pages (from-to)	787-797
Number of pages	11
Journal	Letters in Mathematical Physics
Volume	106
Issue number	6
DOIs	https://doi.org/10.1007/s11005-016-0844-8
State	Published - 1 Jun 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.

Keywords

Schrödinger operators
absolutely continuous spectrum
conductances
quantum transport

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10.1007/s11005-016-0844-8

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title = "Crystalline Conductance and Absolutely Continuous Spectrum of 1D Samples",

abstract = "We characterize the absolutely continuous spectrum of half-line one-dimensional Schr{\"o}dinger operators in terms of the limiting behavior of the crystalline Landauer–B{\"u}ttiker conductance of the associated finite samples.",

keywords = "Schr{\"o}dinger operators, absolutely continuous spectrum, conductances, quantum transport",

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AU - Bruneau, Laurent

AU - Jakšić, Vojkan

AU - Last, Yoram

AU - Pillet, Claude Alain

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N2 - We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the crystalline Landauer–Büttiker conductance of the associated finite samples.

AB - We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the crystalline Landauer–Büttiker conductance of the associated finite samples.

KW - Schrödinger operators

KW - absolutely continuous spectrum

KW - conductances

KW - quantum transport

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Crystalline Conductance and Absolutely Continuous Spectrum of 1D Samples

Abstract

Bibliographical note

Keywords

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